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Finding the Fourth Proportional to 253,898.76, 381,096 and 120,870.84

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Solution

The fourth proportional to 253,898.76, 381,096 and 120,870.84 is: 181,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,898.76 : 381,096 = 120,870.84 : x
  2. Step 2: Convert to fraction form
    253,898.76/381,096 = 120,870.84/x
  3. Step 3: Cross multiply
    253,898.76x = 381,096 × 120,870.84
  4. Step 4: Simplify right side
    253,898.76x = 46,063,393,640.64
  5. Step 5: Solve for x
    x = 46,063,393,640.64/253,898.76
  6. Step 6: Final answer
    x = 181,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.